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Travka [436]
3 years ago
5

Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro

bability that all selected components function properly?
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10

Total outcomes:

2 components, from a set of 6. So

T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15

Probability:

p = \frac{D}{T} = \frac{10}{15} = 0.6667

66.67% probability that all selected components function properly

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Alona [7]

Answer:

The wrt=itten expressions are too difficult to interpret properly.  I did my best but I don't see any of the answers as equivalent to <u>-3x - 2y, so please check my interpretations of the answer options.</u>

Step-by-step explanation:

"Negative 3 x minus one-half 4 y"

-3x- (1/2)4y

<u>or -3x - 2y</u>

<u>=====</u>

The answer options are too garbled for me to make sense of them.  Are they:

1.  2 y minus 5 x minus one-half 2 y  :  2y -5x - (1/2)2y; <u>y -5x</u>  ?

2.  2 x Negative 2 x minus one-half 6 y :  2(-2x)- (1/2)6y; <u>-4x - 3y</u>  ?

3.  3 x Negative 3 x minus three-fourths 4 y :  3x(-3x) - (3/4)4y;  <u>-9x -3y</u>  ?

4.   one-fourth Negative 3 y minus three-fourths 7 y one-fourth minus 3 x:

     (1/4)(-3y) - (3/4)7y - (1/4)(-3x);  -(3/4)y -(21/4)y + (3/4)x; -(24/4)y +         (3/4)x;  ?

     

I don't see any of the answers as equivalent to <u>-3x - 2y, so please check my interpretations of the answer options.</u>

8 0
2 years ago
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What's the square root of 15 divided by 5 square root of 20?
Arturiano [62]

Answer:

√3/10 = 0.1732

Step-by-step explanation:

√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10

7 0
3 years ago
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madam [21]
10.79/1200=.009
.009*1200=10.79 this is a double check to make sure our price per square foot is correct.

.009*4000=$36.00

It will cost $36.00 to seed the 4,000 square feet at that price.
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3 years ago
If f(x) = 3x - 16, evaluate f(-2)
babymother [125]

Answer:

3(-2)-16

-6-16= -22

answer: -22

7 0
3 years ago
The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He
denpristay [2]

Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

\theta =7.2\frac{\pi}{180}

S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles

∴ Radius of the Earth is 3978.8 Miles

C=2\pi r\\\Rightarrow C=2\times \pi \frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow C=25000\ Miles

∴ Circumference of the Earth is 25000 Miles

5 0
3 years ago
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